Contributions to Automorphic Forms, Geometry, and Number Theory: A Volume in Honor of Joseph Shalika

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Haruzo Hida, Dinakar Ramakrishnan, Freydoon Shahidi
JHU Press, Mar 11, 2004 - Mathematics - 910 pages
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In Contributions to Automorphic Forms, Geometry, and Number Theory, Haruzo Hida, Dinakar Ramakrishnan, and Freydoon Shahidi bring together a distinguished group of experts to explore automorphic forms, principally via the associated L-functions, representation theory, and geometry. Because these themes are at the cutting edge of a central area of modern mathematics, and are related to the philosophical base of Wiles' proof of Fermat's last theorem, this book will be of interest to working mathematicians and students alike. Never previously published, the contributions to this volume expose the reader to a host of difficult and thought-provoking problems.

Each of the extraordinary and noteworthy mathematicians in this volume makes a unique contribution to a field that is currently seeing explosive growth. New and powerful results are being proved, radically and continually changing the field's make up. Contributions to Automorphic Forms, Geometry, and Number Theory will likely lead to vital interaction among researchers and also help prepare students and other young mathematicians to enter this exciting area of pure mathematics.

Contributors: Jeffrey Adams, Jeffrey D. Adler, James Arthur, Don Blasius, Siegfried Boecherer, Daniel Bump, William Casselmann, Laurent Clozel, James Cogdell, Laurence Corwin, Solomon Friedberg, Masaaki Furusawa, Benedict Gross, Thomas Hales, Joseph Harris, Michael Harris, Jeffrey Hoffstein, Hervé Jacquet, Dihua Jiang, Nicholas Katz, Henry Kim, Victor Kreiman, Stephen Kudla, Philip Kutzko, V. Lakshmibai, Robert Langlands, Erez Lapid, Ilya Piatetski-Shapiro, Dipendra Prasad, Stephen Rallis, Dinakar Ramakrishnan, Paul Sally, Freydoon Shahidi, Peter Sarnak, Rainer Schulze-Pillot, Joseph Shalika, David Soudry, Ramin Takloo-Bigash, Yuri Tschinkel, Emmanuel Ullmo, Marie-France Vignéras, Jean-Loup Waldspurger.

 

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Contents

Jeffrey Adams Theta10
39
Jeffrey D Adler Lawrence Corwin and Paul J Sally Jr Discrete series
57
Don Blasius Elliptic curves Hilbert modular forms and
83
Siegfried Böcherer Masaaki Furusawa and Rainer SchulzePillot On
105
Daniel Bump Solomon Friedberg and Jeffrey Hoffstein Sums of twisted
131
Bill Casselman Harmonic analysis of the Schwartz space
163
RankinSelberg convolutions
255
to theta characteristics
279
Henry H Kim and Freydoon Shahidi On the holomorphy
561
in the Grassmannian
573
Philip Kutzko Types and covers for SL2
599
Robert P Langlands Beyond endoscopy
611
A question
699
Dinakar Ramakrishnan Existence of Ramanujan primes for GL3
711
Peter Sarnak Nonvanishing of Lfunctions on Rs1
719
Joseph A Shalika Ramin TaklooBighash and Yuri Tschinkel Rational
733

four Lfunction of GSp4
331
symmetric matrices
421
15
434
Langlands reciprocity law for padic SO2n+1
457
Katz Larsens alternative moments and the monodromy
521
Joseph A Shalika and Yuri Tschinkel Height zeta functions of equivariant
743
integral structures
773
JeanLoup Waldspurger Représentations de réduction unipotente pour
803
Copyright

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About the author (2004)

Haruzo Hida is a professor of mathematics at UCLA. Dinakar Ramakrishnan is a professor of mathematics at California Institute of Technology. Freydoon Shahidi is Distinguished Professor of Mathematics at Purdue University.

Bibliographic information